Citation: | Dingcheng DAI, Minli YAO, Weimin JIA, Wei JIN, Fenggan ZHANG. Synthesis of Multi-constrained Sparse Rectangular Arrays[J]. Journal of Electronics & Information Technology, 2019, 41(1): 107-114. doi: 10.11999/JEIT180262 |
A Novel Matrix Mapping (NMM) method is proposed for the synthesis of sparse rectangular arrays with multiple constraints. Firstly, the sizes of element coordinate matrices are resized to improve the Degree Of Freedom (DOF) of elements by taking account of both placeable number and distributable range of elements. Then, a selection matrix is established to determine which elements should be turned off when the coordinate matrices should be thinned. By establishing two different mapping functions, a NMM method is presented to overcome the drawbacks of existing methods in terms of flexibility and effectiveness. Finally, comparison experiments are conducted to verify the effectiveness of the proposed method. The numerical validation points out that the proposed method outperforms the existing methods in the design of sparse rectangular arrays.
DARVISH A and EBRAHIMZADEH A. Improved fruit-fly optimization algorithm and its applications in antenna arrays synthesis[J]. IEEE Transactions on Antennas & Propagation, 2018, 66(4): 1756–1766. doi: 10.1109/TAP.2018.2800695
|
ZHANG Xuejing, HE Zishu, LIAO Bin, et al. Pattern synthesis for arbitrary arrays via weight vector orthogonal decomposition[J]. IEEE Transactions on Signal Processing, 2018, 66(5): 1286–1299. doi: 10.1109/TSP.2017.2787143
|
ZHANG Xuejing, HE Zishu, LIAO Bin, et al. Pattern synthesis with multi-point accurate array response control[J]. IEEE Transactions on Antennas & Propagation, 2017, 65(8): 4075–4088. doi: 10.1109/TAP.2017.2718582
|
LI Xun, DUAN Baoyan, ZHOU Jinzhu, et al. Planar array synthesis for optimal microwave power transmission with multiple constraints[J]. IEEE Antennas & Wireless Propagation Letters, 2017, 16: 70–73. doi: 10.1109/LAWP.2016.2555980
|
LEEPER D. Isophoric arrays—Massively thinned phased arrays with well-controlled sidelobes[J]. IEEE Transactions on Antennas & Propagation, 1999, 47(12): 1825–1835. doi: 10.1109/8.817659
|
KEIZER W. Synthesis of thinned planar circular and square arrays using density tapering[J]. IEEE Transactions on Antennas & Propagation, 2014, 62(4): 1555–1563. doi: 10.1109/TAP.2013.2267194
|
李龙军, 王布宏, 夏春和. 基于改进迭代FFT算法的均匀线阵交错稀疏布阵方法[J]. 电子与信息学报, 2016, 38(4): 970–977. doi: 10.11999/JEIT150749
LI Longjun, WANG Buhong, and XIA Chunhe. Interleaved thinned linear arrays based on modified iterative FFT technique[J]. Journal of Electronics &Information Technology, 2016, 38(4): 970–977. doi: 10.11999/JEIT150749
|
ZHANG Li, JIAO Yongchang, WENG Zibin, et al. Design of planar thinned arrays using a Boolean differential evolution algorithm[J]. IET Microwaves, Antennas & Propagation, 2010, 4(12): 2172–2178. doi: 10.1049/iet-map.2009.0630
|
DONELLI M, MARTINI A, and MASSA A. A hybrid approach based on PSO and Hadamard difference sets for the synthesis of square thinned arrays[J]. IEEE Transactions on Antennas & Propagation, 2009, 57(8): 2491–2495. doi: 10.1109/TAP.2009.2024570
|
YAN Fei, YANG Peng, YANG Feng, et al. Synthesis of planar sparse arrays by perturbed compressive sampling framework[J]. IET Microwaves Antennas & Propagation, 2016, 10(11): 1146–1153. doi: 10.1049/iet-map.2015.0775
|
VIANI F, OLIVERI G, and MASSA A. Compressive sensing pattern matching techniques for synthesizing planar sparse arrays[J]. IEEE Transactions on Antennas & Propagation, 2013, 61(9): 4577–4587. doi: 10.1109/TAP.2013.2267195
|
于波, 陈客松, 朱盼, 等. 稀布圆阵的降维优化方法[J]. 电子与信息学报, 2014, 36(2): 476–481. doi: 10.3724/SP.J.1146.2013.00526
YU Bo, CHEN Kesong, Zhu Pan, et al. An optimum method of sparse concentric rings array based on dimensionality reduction[J]. Journal of Electronics &Information Technology, 2014, 36(2): 476–481. doi: 10.3724/SP.J.1146.2013.00526
|
CHEN Kesong, YUN Xiaohua, HE Zishu, et al. Synthesis of sparse planar arrays using modified real genetic algorithm[J]. IEEE Transactions on Antennas & Propagation, 2007, 55(4): 1067–1073. doi: 10.1109/TAP.2007.893375
|
LIU Heng, ZHAO Hongwei, LI Weimei, et al. Synthesis of sparse planar arrays using matrix mapping and differential evolution[J]. IEEE Antennas & Wireless Propagation Letters, 2016, 15: 1905–1908. doi: 10.1109/LAWP.2016.2542882
|
LIN Zhiqiang, JIA Weimin, YAO Minli, et al. Synthesis of sparse linear arrays using vector mapping and simultaneous perturbation stochastic approximation[J]. IEEE Antennas & Wireless Propagation Letters, 2012, 11: 220–223. doi: 10.1109/LAWP.2012.2188266
|
贾维敏, 林志强, 姚敏立, 等. 一种多约束稀布线阵的天线综合方法[J]. 电子学报, 2013, 41(5): 926–930. doi: 10.3969/j.issn.0372-2112.2013.05.015
JIA Weimin, LIN Zhiqiang, YAO Minli, et al. A synthesis technique for linear sparse arrays with multiple constraints[J]. Acta Electronica Sinica, 2013, 41(5): 926–930. doi: 10.3969/j.issn.0372-2112.2013.05.015
|
DAI Dingcheng, YAO Minli, MA Hongguang, et al. An effective approach for the synthesis of uniformly excited large linear sparse array[J]. IEEE Antennas & Wireless Propagation Letters, 2018, 17(3): 377–380. doi: 10.1109/LAWP.2018.2790907
|
ZHANG Fenggan, JIA Weimin, and YAO Minli. Linear aperiodic array synthesis using differential evolution algorithm[J]. IEEE Antennas & Wireless Propagation Letters, 2013, 12(9): 797–800. doi: 10.1109/LAWP.2013.2270930
|